The lengths of new pencils are normally distributed with mean 11 cm and standard deviation 0.095 cm. (i)Find the probability that a pencil chosen at random has a length greater than 10.9 cm. (ii)Find the probability that, in a random sample of 6 pencils, at least two have lengths less than 10.9 cm.

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.